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Finding the Fourth Proportional to 202,961, 304,442.80 and 53,200

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Solution

The fourth proportional to 202,961, 304,442.80 and 53,200 is: 79,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961 : 304,442.80 = 53,200 : x
  2. Step 2: Convert to fraction form
    202,961/304,442.80 = 53,200/x
  3. Step 3: Cross multiply
    202,961x = 304,442.80 × 53,200
  4. Step 4: Simplify right side
    202,961x = 16,196,356,960
  5. Step 5: Solve for x
    x = 16,196,356,960/202,961
  6. Step 6: Final answer
    x = 79,800.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.